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Finding the Fourth Proportional to 277,686.66, 416,531.36 and 67,324.60

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Solution

The fourth proportional to 277,686.66, 416,531.36 and 67,324.60 is: 100,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,686.66 : 416,531.36 = 67,324.60 : x
  2. Step 2: Convert to fraction form
    277,686.66/416,531.36 = 67,324.60/x
  3. Step 3: Cross multiply
    277,686.66x = 416,531.36 × 67,324.60
  4. Step 4: Simplify right side
    277,686.66x = 28,042,807,199.46
  5. Step 5: Solve for x
    x = 28,042,807,199.46/277,686.66
  6. Step 6: Final answer
    x = 100,987.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.